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On nonsingularity of combinations of two group invertible matrices and two tripotent matrices

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On nonsingularity of combinations of two group invertible matrices and two tripotent matrices

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Liu, X.; Wu, S.; Benítez López, J. (2011). On nonsingularity of combinations of two group invertible matrices and two tripotent matrices. Linear and Multilinear Algebra. 59(12):1409-1417. https://doi.org/10.1080/03081087.2011.558843

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Título: On nonsingularity of combinations of two group invertible matrices and two tripotent matrices
Autor: Liu, Xiaoji Wu, Shuxia Benítez López, Julio
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
Let T(1) and T(2) be two n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. We mainly study the nonsingularity of combinations T = c(1)T(1) + c(2)T(2) - c(3)T(1)T(2) of two tripotent matrices T(1) and ...[+]
Palabras clave: Diagonalization , Group invertible matrix , Linear combination , Nonsingularity , Tripotent matrix
Derechos de uso: Reserva de todos los derechos
Fuente:
Linear and Multilinear Algebra. (issn: 0308-1087 )
DOI: 10.1080/03081087.2011.558843
Editorial:
Taylor & Francis
Versión del editor: http://dx.doi.org/10.1080/03081087.2011.558843
Código del Proyecto:
info:eu-repo/grantAgreement/NSFC//11061005/
info:eu-repo/grantAgreement/MOST//210164/
info:eu-repo/grantAgreement/MICINN//MTM2010-18539/ES/DISEÑO, ANALISIS Y OPTIMIZACION DE METODOS DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES. APLICACIONES A PROBLEMAS DE VALOR INICIAL Y FLUJO OPTICO/
Agradecimientos:
X. Liu was supported by the National Natural Science Foundation of China (11061005) and the Ministry of Education Science and Technology Key Project (210164). J. Benitez was supported by Spanish Project MTM2010-18539. The ...[+]
Tipo: Artículo

References

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Baksalary, J. K., Baksalary, O. M., & Özdemir, H. (2004). A note on linear combinations of commuting tripotent matrices. Linear Algebra and its Applications, 388, 45-51. doi:10.1016/j.laa.2004.01.011

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Baksalary, J. K., Baksalary, O. M., & Özdemir, H. (2004). A note on linear combinations of commuting tripotent matrices. Linear Algebra and its Applications, 388, 45-51. doi:10.1016/j.laa.2004.01.011

Benítez, J., Liu, X., & Zhu, T. (2010). Nonsingularity and group invertibility of linear combinations of twok-potent matrices. Linear and Multilinear Algebra, 58(8), 1023-1035. doi:10.1080/03081080903207932

Benítez, J., & Thome, N. (2006). {k}-Group Periodic Matrices. SIAM Journal on Matrix Analysis and Applications, 28(1), 9-25. doi:10.1137/s0895479803437384

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M. Sarduvan and H. Özdemir,On nonsingularity of linear combinations of tripotent matrices, Acta Universitatis Apulensis 25 (2011), pp. 159–164

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